A curved wooden log was placed across a flowing river. Determine the area between the curve of y=3x^3 of the wooden log on the axis of y and the straight line (width of the river) y=2

not sure how 3x^3 can be the curve of a log, but the area between the y-axis and the curve is (since x=∛(2/3) when y=2)

∫[0,∛(2/3) (2 - 3x^3) dx = ∛(9/4)